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Solve the problem. Rejoyne Inc. has a marginal-profit function given by P'(x) = -2x + 140,...
A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in...
A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets sold, x, is P'(x). Find the total profit from the sale of the first 200 tickets, disregarding any fixed costs. P'(x) = 3x - 1140 The total profit is $ (Round to the nearest cent as needed.)
у 1200- A firm has the marginal profit function below, where P(x) is the profit earned...
у 1200- A firm has the marginal profit function below, where P(x) is the profit earned at x dollars per unit. dP 9000 - 3000x dx (x2 - 6x+ (+10) 2 600- 0- LY 6 8 -600- The graph of this function is shown to the right. Find the total-profit function given that P = $1500 at x = $3. -1200- How can the total-profit function be found? A. Substitute the given value of P into the marginal-profit function and...
10. DETAILS HARMATHAPBR1 9.6.001.MI. Differentiate the function. f(x) = (2x - 5)35 F"(x) = 11. DETAILS...
10. DETAILS HARMATHAPBR1 9.6.001.MI. Differentiate the function. f(x) = (2x - 5)35 F"(x) = 11. DETAILS HARMATHAPBR1 9.9.003. Cost is in dollars and x is the number of units. Find the marginal cost function MC for the given cost function. C(x) = 450 + 16x + x2 MC = 12. DETAILS HARMATHAPBR1 9.9.007. Cost, revenue, and profit are in dollars and x is the number of units. If the total profit function is P(x) = 2x - 15, find the...
Please solve all of them. 7. The revenue function for a product is given by 60x2...
Please solve all of them.
7. The revenue function for a product is given by 60x2 R(x) = 2x+1 a. Find the marginal revenue function The price of a product in a competitive market is $300. The cost per unit of producing the product is 160 + 0.1% dollars, where x is the number of units produced per month a. Find the marginal cost function. b. Find the marginal revenue function b. Find MR(100) and interpret your results. c. Find...
4. (10 points) A company's marginal cost function is C'(x) = 3.22 – 2x + 10...
4. (10 points) A company's marginal cost function is C'(x) = 3.22 – 2x + 10 dollars, where a denotes the number of units produced in 1 day. Determine the increase in cost if the production level is raised from r = 1 to 1 = 3 units. Show all of your work.
DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit are in dollars and x is the number of...
DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) = 55x and that the total cost function is c(X) - 1700 + 35x + 0.01x2. (a) Find the profit from the production and sale of 500 units. $ (b) Find the marginal profit function. (c) Find MP at x = 500. on the sale of the next (501st) unit. Explain what...
(1 point) The profit function for a computer company is given by P(x) = -x2 +...
(1 point) The profit function for a computer company is given by P(x) = -x2 + 31x – 22 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit. (thousands of) units = maximum profit = thousand dollars b) Determine how many units should be produced for a profit of at least 40 thousand....
need help with #13 please and thank you 13. DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit...
need help with #13 please and thank you
13. DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) - 55x and that the total cost function is c(*) - 2000 + 35x + 0.01x? (a) Find the profit from the production and sale of 500 units. $ (b) Find the marginal profit function. (c) Find MP at x = 500. Explain...
(1 point) The price-demand and cost functions for the production of microwaves are given as P=240-...
(1 point) The price-demand and cost functions for the production of microwaves are given as P=240- C(x) = 46000 + 40., is the number of microwaves that can be sold at a price of p dollars per unit and C where units. ) is the total cost (in dollars) of producing (A) Find the marginal cost as a function of C'(x) = (B) Find the revenue function in terms R(x) = (C) Find the marginal revenue function in terms of...
13. The marginal profit for the new X-99 pogo stick is P'(x) = -0.1x +60 where...
13. The marginal profit for the new X-99 pogo stick is P'(x) = -0.1x +60 where x is the number of sticks produced and sold. The profit is - $1000 when 50 sticks have been produce and sold. a) Find the profit function. b) What level of production of pogo sticks (x) produces a maximum profit? c) What is dollar value of the maximum profit?
A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets sold, x, is P'(x). Find the total profit from the sale of the first 200 tickets, disregarding any fixed costs. P'(x) = 3x - 1140 The total profit is $ (Round to the nearest cent as needed.)
у 1200- A firm has the marginal profit function below, where P(x) is the profit earned at x dollars per unit. dP 9000 - 3000x dx (x2 - 6x+ (+10) 2 600- 0- LY 6 8 -600- The graph of this function is shown to the right. Find the total-profit function given that P = $1500 at x = $3. -1200- How can the total-profit function be found? A. Substitute the given value of P into the marginal-profit function and...
10. DETAILS HARMATHAPBR1 9.6.001.MI. Differentiate the function. f(x) = (2x - 5)35 F"(x) = 11. DETAILS HARMATHAPBR1 9.9.003. Cost is in dollars and x is the number of units. Find the marginal cost function MC for the given cost function. C(x) = 450 + 16x + x2 MC = 12. DETAILS HARMATHAPBR1 9.9.007. Cost, revenue, and profit are in dollars and x is the number of units. If the total profit function is P(x) = 2x - 15, find the...
Please solve all of them.
7. The revenue function for a product is given by 60x2 R(x) = 2x+1 a. Find the marginal revenue function The price of a product in a competitive market is $300. The cost per unit of producing the product is 160 + 0.1% dollars, where x is the number of units produced per month a. Find the marginal cost function. b. Find the marginal revenue function b. Find MR(100) and interpret your results. c. Find...
4. (10 points) A company's marginal cost function is C'(x) = 3.22 – 2x + 10 dollars, where a denotes the number of units produced in 1 day. Determine the increase in cost if the production level is raised from r = 1 to 1 = 3 units. Show all of your work.
DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) = 55x and that the total cost function is c(X) - 1700 + 35x + 0.01x2. (a) Find the profit from the production and sale of 500 units. $ (b) Find the marginal profit function. (c) Find MP at x = 500. on the sale of the next (501st) unit. Explain what...
(1 point) The profit function for a computer company is given by P(x) = -x2 + 31x – 22 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit. (thousands of) units = maximum profit = thousand dollars b) Determine how many units should be produced for a profit of at least 40 thousand....
need help with #13 please and thank you
13. DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) - 55x and that the total cost function is c(*) - 2000 + 35x + 0.01x? (a) Find the profit from the production and sale of 500 units. $ (b) Find the marginal profit function. (c) Find MP at x = 500. Explain...
(1 point) The price-demand and cost functions for the production of microwaves are given as P=240- C(x) = 46000 + 40., is the number of microwaves that can be sold at a price of p dollars per unit and C where units. ) is the total cost (in dollars) of producing (A) Find the marginal cost as a function of C'(x) = (B) Find the revenue function in terms R(x) = (C) Find the marginal revenue function in terms of...
13. The marginal profit for the new X-99 pogo stick is P'(x) = -0.1x +60 where x is the number of sticks produced and sold. The profit is - $1000 when 50 sticks have been produce and sold. a) Find the profit function. b) What level of production of pogo sticks (x) produces a maximum profit? c) What is dollar value of the maximum profit?
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